1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 (* This file was automatically generated: do not edit *********************)
17 set "baseuri" "cic:/matita/CoRN-Decl/fta/MainLemma".
19 (* $Id: MainLemma.v,v 1.3 2004/04/23 10:00:57 lcf Exp $ *)
21 (*#* printing two_n %\ensuremath{2n}% #2n# *)
23 (*#* printing Small %\ensuremath{\frac13^n}% *)
25 (*#* printing Smaller %\ensuremath{\frac13^{2n^2}}% *)
44 Let [a : nat->IR], [n : nat], [a_0 : IR] and [eps : IR] such that [0 < n],
45 [(Zero [<] eps)], [forall (k : nat)(Zero [<=] (a k))], [(a n) [=] One], and
50 inline cic:/CoRN/fta/MainLemma/a.var.
52 inline cic:/CoRN/fta/MainLemma/n.var.
54 inline cic:/CoRN/fta/MainLemma/gt_n_0.var.
56 inline cic:/CoRN/fta/MainLemma/eps.var.
58 inline cic:/CoRN/fta/MainLemma/eps_pos.var.
60 inline cic:/CoRN/fta/MainLemma/a_nonneg.var.
62 inline cic:/CoRN/fta/MainLemma/a_n_1.var.
64 inline cic:/CoRN/fta/MainLemma/a_0.var.
66 inline cic:/CoRN/fta/MainLemma/eps_le_a_0.var.
68 inline cic:/CoRN/fta/MainLemma/a_0_pos.con.
71 %\begin{convention}% We define the following local abbreviations:
74 - [Smaller := p3m (two_n * n)]
81 inline cic:/CoRN/fta/MainLemma/two_n.con.
83 inline cic:/CoRN/fta/MainLemma/Small.con.
85 inline cic:/CoRN/fta/MainLemma/Smaller.con.
89 inline cic:/CoRN/fta/MainLemma/Main_1a'.con.
93 inline cic:/CoRN/fta/MainLemma/Main_1b'.con.
97 inline cic:/CoRN/fta/MainLemma/Main_1a.con.
101 inline cic:/CoRN/fta/MainLemma/Main_1b.con.
105 inline cic:/CoRN/fta/MainLemma/Main_1.con.
109 inline cic:/CoRN/fta/MainLemma/Main_2'.con.
111 inline cic:/CoRN/fta/MainLemma/Main_2.con.
115 inline cic:/CoRN/fta/MainLemma/Main_3a.con.
119 inline cic:/CoRN/fta/MainLemma/Main_3.con.
123 inline cic:/CoRN/fta/MainLemma/Main.con.